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    Cos 60 Degrees

    Sin, Cos, Tan, Cot of an Angle
    Function
    Angle (°)

    What is cos 60°?

    Answer

    cos 60° =
    1/2 = 0.5

    Angle in radians: 60° = π/3. The point of the angle is in quadrant I, where cosine is positive.

    P(cos 60°, sin 60°) = (1/2, √3/2)

    Half of an equilateral triangle with side 1: the hypotenuse is 1 and the leg opposite 30° is 1/2.

    cos 60° = 1/2

    xyOP

    P(cos 60°, sin 60°) ≈ (0.5, 0.8660)

    Highlighted: the projection on the x-axis — cosine, x = 0.5.

    All four functions of 60°
    FunctionExact valueDecimal
    sin 60°√3/2≈ 0.8660
    cos 60°1/20.5
    tan 60°√3≈ 1.7321
    cot 60°√3/3≈ 0.5774

    See Also

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    https://calculat.io/en/number/trigonometry/cos--60Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--60">Cos 60 Degrees: Cosine of 60° on the Unit Circle</a>Copy
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    Cos 60 Degrees: Cosine of 60° on the Unit Circle. cos 60° = 1/2 = 0.5. The cosine is the x-coordinate of the point at 60° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--60/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    57°≈ 0.5446
    58°≈ 0.5299
    59°≈ 0.5150
    60°1/2
    61°≈ 0.4848
    62°≈ 0.4695
    63°≈ 0.4540
    Recalculate with different values ↑

    FAQ

    What is cos 60°?

    cos 60° = 1/2 = 0.5

    How to remember sin 30°, sin 45° and sin 60°?

    Write them as √1/2, √2/2, √3/2: sin 30° = 1/2, sin 45° = √2/2, sin 60° = √3/2. Cosines are the same numbers in reverse order: cos 30° = √3/2, cos 45° = √2/2, cos 60° = 1/2; tan = sin / cos and cot = cos / sin. Here: cos 60° = 1/2 = 0.5.

    Why does a calculator show −0.9524 for cos 60?

    The calculator is in radian mode (RAD): it takes cos 60 as the cosine of 60 radians, cos 60 rad ≈ −0.9524. Switch it to degrees (DEG): cos 60° = 1/2 = 0.5. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also